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Finding the Fourth Proportional to 105,159.96, 157,488.46 and 60,651.77

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Solution

The fourth proportional to 105,159.96, 157,488.46 and 60,651.77 is: 90,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.96 : 157,488.46 = 60,651.77 : x
  2. Step 2: Convert to fraction form
    105,159.96/157,488.46 = 60,651.77/x
  3. Step 3: Cross multiply
    105,159.96x = 157,488.46 × 60,651.77
  4. Step 4: Simplify right side
    105,159.96x = 9,551,953,853.57
  5. Step 5: Solve for x
    x = 9,551,953,853.57/105,159.96
  6. Step 6: Final answer
    x = 90,832.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.